127536084000 has 576 divisors, whose sum is σ = 504304950240. Its totient is φ = 30307737600.

The previous prime is 127536083989. The next prime is 127536084001. The reversal of 127536084000 is 480635721.

127536084000 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 3 + 608 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 59534048016 + 68002035984 = 243996^2 + 260772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (127536084001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13567302 + ... + 13576698.

Almost surely, 2^127536084000 is an apocalyptic number.

127536084000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127536084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252152475120).

127536084000 is an abundant number, since it is smaller than the sum of its proper divisors (376768866240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127536084000 is a wasteful number, since it uses less digits than its factorization.

127536084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 127536084000 in words is "one hundred twenty-seven billion, five hundred thirty-six million, eighty-four thousand".